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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWW957+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:30:35 PM UTC 2026

% Result   : Theorem 3.80s 6.21s
% Output   : CNFRefutation 3.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   87 (  41 unt;   0 def)
%            Number of atoms       :  144 (  22 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  109 (  52   ~;  47   |;   2   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   4 con; 0-2 aty)
%            Number of variables   :  103 (   0 sgn 103   !;   0   ?;  36   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f46,axiom,
    ! [X0,X1] : constr_split(constr_concat(X0,X1)) = tuple_2(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax45) ).

fof(f48,axiom,
    ! [X0,X1] : constr_C(constr_xor(X0,X1)) = constr_xor(constr_C(X0),constr_C(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax47) ).

fof(f49,axiom,
    ! [X0] : constr_xor(X0,X0) = constr_ZERO,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax48) ).

fof(f50,axiom,
    ! [X0] : constr_xor(X0,constr_ZERO) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax49) ).

fof(f51,axiom,
    ! [X0,X1] : constr_xor(X0,X1) = constr_xor(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax50) ).

fof(f52,axiom,
    ! [X0,X1,X2] : constr_xor(X0,constr_xor(X1,X2)) = constr_xor(constr_xor(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax51) ).

fof(f53,axiom,
    ! [X0,X1] :
      ( ( pred_attacker(X1)
        & pred_attacker(X0) )
     => pred_attacker(constr_xor(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax52) ).

fof(f55,axiom,
    ! [X0] :
      ( pred_attacker(X0)
     => pred_attacker(constr_split(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax54) ).

fof(f59,axiom,
    ! [X0,X1] :
      ( pred_attacker(tuple_enc_oracle_out_2(X0,X1))
     => pred_attacker(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax58) ).

fof(f60,axiom,
    ! [X0] :
      ( pred_attacker(X0)
     => pred_attacker(tuple_enc_oracle_in_1(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax59) ).

fof(f62,axiom,
    ! [X0,X1] :
      ( ( pred_attacker(X1)
        & pred_attacker(X0) )
     => pred_attacker(constr_concat(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax61) ).

fof(f63,axiom,
    pred_attacker(constr_ZERO),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax62) ).

fof(f73,axiom,
    ! [X0,X1] :
      ( pred_attacker(tuple_B_out_1(X0,X1))
     => pred_attacker(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax72) ).

fof(f75,axiom,
    ! [X0,X1] :
      ( pred_attacker(tuple_2(X0,X1))
     => pred_attacker(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax74) ).

fof(f82,axiom,
    ! [X0] :
      ( pred_attacker(tuple_enc_oracle_in_1(X0))
     => pred_attacker(tuple_enc_oracle_out_2(name_v,constr_xor(constr_concat(X0,constr_C(X0)),constr_RC4(name_v,name_Kab)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax81) ).

fof(f83,axiom,
    pred_attacker(tuple_B_out_1(name_v,constr_xor(constr_concat(name_objective,constr_C(name_objective)),constr_RC4(name_v,name_Kab)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax82) ).

fof(f84,conjecture,
    pred_attacker(name_objective),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co0) ).

fof(f85,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(negated_conjecture,[status(cth)],[f84]) ).

fof(f86,plain,
    ~ pred_attacker(name_objective),
    inference(flattening,[],[f85]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(X1)
      | ~ pred_attacker(X0)
      | pred_attacker(constr_xor(X0,X1)) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(X1)
      | ~ pred_attacker(X0)
      | pred_attacker(constr_xor(X0,X1)) ),
    inference(flattening,[],[f88]) ).

fof(f90,plain,
    ! [X0] :
      ( ~ pred_attacker(X0)
      | pred_attacker(constr_split(X0)) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(tuple_enc_oracle_out_2(X0,X1))
      | pred_attacker(X1) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f95,plain,
    ! [X0] :
      ( ~ pred_attacker(X0)
      | pred_attacker(tuple_enc_oracle_in_1(X0)) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(X1)
      | ~ pred_attacker(X0)
      | pred_attacker(constr_concat(X0,X1)) ),
    inference(ennf_transformation,[],[f62]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(X1)
      | ~ pred_attacker(X0)
      | pred_attacker(constr_concat(X0,X1)) ),
    inference(flattening,[],[f97]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(tuple_B_out_1(X0,X1))
      | pred_attacker(X1) ),
    inference(ennf_transformation,[],[f73]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(tuple_2(X0,X1))
      | pred_attacker(X0) ),
    inference(ennf_transformation,[],[f75]) ).

fof(f114,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_enc_oracle_in_1(X0))
      | pred_attacker(tuple_enc_oracle_out_2(name_v,constr_xor(constr_concat(X0,constr_C(X0)),constr_RC4(name_v,name_Kab)))) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f160,plain,
    ! [X0,X1] : constr_split(constr_concat(X0,X1)) = tuple_2(X0,X1),
    inference(cnf_transformation,[],[f46]) ).

fof(f162,plain,
    ! [X0,X1] : constr_C(constr_xor(X0,X1)) = constr_xor(constr_C(X0),constr_C(X1)),
    inference(cnf_transformation,[],[f48]) ).

fof(f163,plain,
    ! [X0] : constr_ZERO = constr_xor(X0,X0),
    inference(cnf_transformation,[],[f49]) ).

fof(f164,plain,
    ! [X0] : constr_xor(X0,constr_ZERO) = X0,
    inference(cnf_transformation,[],[f50]) ).

fof(f165,plain,
    ! [X0,X1] : constr_xor(X0,X1) = constr_xor(X1,X0),
    inference(cnf_transformation,[],[f51]) ).

fof(f166,plain,
    ! [X2,X0,X1] : constr_xor(X0,constr_xor(X1,X2)) = constr_xor(constr_xor(X0,X1),X2),
    inference(cnf_transformation,[],[f52]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(X1)
      | ~ pred_attacker(X0)
      | pred_attacker(constr_xor(X0,X1)) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f169,plain,
    ! [X0] :
      ( ~ pred_attacker(X0)
      | pred_attacker(constr_split(X0)) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f173,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(tuple_enc_oracle_out_2(X0,X1))
      | pred_attacker(X1) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f174,plain,
    ! [X0] :
      ( ~ pred_attacker(X0)
      | pred_attacker(tuple_enc_oracle_in_1(X0)) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f176,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(X1)
      | ~ pred_attacker(X0)
      | pred_attacker(constr_concat(X0,X1)) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f177,plain,
    pred_attacker(constr_ZERO),
    inference(cnf_transformation,[],[f63]) ).

fof(f187,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(tuple_B_out_1(X0,X1))
      | pred_attacker(X1) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f189,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(tuple_2(X0,X1))
      | pred_attacker(X0) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f195,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_enc_oracle_in_1(X0))
      | pred_attacker(tuple_enc_oracle_out_2(name_v,constr_xor(constr_concat(X0,constr_C(X0)),constr_RC4(name_v,name_Kab)))) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f196,plain,
    pred_attacker(tuple_B_out_1(name_v,constr_xor(constr_concat(name_objective,constr_C(name_objective)),constr_RC4(name_v,name_Kab)))),
    inference(cnf_transformation,[],[f83]) ).

fof(f197,plain,
    ~ pred_attacker(name_objective),
    inference(cnf_transformation,[],[f86]) ).

fof(f199,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(constr_split(constr_concat(X0,X1)))
      | pred_attacker(X0) ),
    inference(definition_unfolding,[],[f189,f160]) ).

tcf(c_95,plain,
    ! [X0: $i,X1: $i] : constr_xor(constr_C(X0),constr_C(X1)) = constr_C(constr_xor(X0,X1)),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_96,plain,
    ! [X0: $i] : constr_xor(X0,X0) = constr_ZERO,
    inference(cnf_transformation,[],[f163]) ).

tcf(c_97,plain,
    ! [X0: $i] : constr_xor(X0,constr_ZERO) = X0,
    inference(cnf_transformation,[],[f164]) ).

tcf(c_98,plain,
    ! [X0: $i,X1: $i] : constr_xor(X0,X1) = constr_xor(X1,X0),
    inference(cnf_transformation,[],[f165]) ).

tcf(c_99,plain,
    ! [X0: $i,X1: $i,X2: $i] : constr_xor(constr_xor(X0,X1),X2) = constr_xor(X0,constr_xor(X1,X2)),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_100,plain,
    ! [X0: $i,X1: $i] :
      ( pred_attacker(constr_xor(X0,X1))
      | ~ pred_attacker(X1)
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_102,plain,
    ! [X0: $i] :
      ( pred_attacker(constr_split(X0))
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_106,plain,
    ! [X0: $i,X1: $i] :
      ( pred_attacker(X1)
      | ~ pred_attacker(tuple_enc_oracle_out_2(X0,X1)) ),
    inference(cnf_transformation,[],[f173]) ).

tcf(c_107,plain,
    ! [X0: $i] :
      ( pred_attacker(tuple_enc_oracle_in_1(X0))
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_109,plain,
    ! [X0: $i,X1: $i] :
      ( pred_attacker(constr_concat(X0,X1))
      | ~ pred_attacker(X1)
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_110,plain,
    pred_attacker(constr_ZERO),
    inference(cnf_transformation,[],[f177]) ).

tcf(c_120,plain,
    ! [X0: $i,X1: $i] :
      ( pred_attacker(X1)
      | ~ pred_attacker(tuple_B_out_1(X0,X1)) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_122,plain,
    ! [X0: $i,X1: $i] :
      ( pred_attacker(X0)
      | ~ pred_attacker(constr_split(constr_concat(X0,X1))) ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_128,plain,
    ! [X0: $i] :
      ( pred_attacker(tuple_enc_oracle_out_2(name_v,constr_xor(constr_concat(X0,constr_C(X0)),constr_RC4(name_v,name_Kab))))
      | ~ pred_attacker(tuple_enc_oracle_in_1(X0)) ),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_129,plain,
    pred_attacker(tuple_B_out_1(name_v,constr_xor(constr_concat(name_objective,constr_C(name_objective)),constr_RC4(name_v,name_Kab)))),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_130,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(cnf_transformation,[],[f197]) ).

tcf(c_153,plain,
    ! [X0: $i] :
      ( pred_attacker(tuple_enc_oracle_out_2(name_v,constr_xor(constr_RC4(name_v,name_Kab),constr_concat(X0,constr_C(X0)))))
      | ~ pred_attacker(tuple_enc_oracle_in_1(X0)) ),
    inference(theory_normalisation,[status(thm)],[c_128,c_99,c_98]) ).

tcf(c_154,plain,
    pred_attacker(tuple_B_out_1(name_v,constr_xor(constr_RC4(name_v,name_Kab),constr_concat(name_objective,constr_C(name_objective))))),
    inference(theory_normalisation,[status(thm)],[c_129,c_99,c_98]) ).

tcf(c_164,plain,
    ! [X0: $i] :
      ( pred_attacker(tuple_enc_oracle_out_2(name_v,constr_xor(constr_RC4(name_v,name_Kab),constr_concat(X0,constr_C(X0)))))
      | ~ pred_attacker(X0) ),
    inference(prop_impl_just,[status(thm)],[c_107,c_153]) ).

tcf(c_611,plain,
    ! [X0: $i] :
      ( pred_attacker(tuple_enc_oracle_out_2(name_v,constr_xor(constr_RC4(name_v,name_Kab),constr_concat(X0,constr_C(X0)))))
      | ~ pred_attacker(X0) ),
    inference(prop_impl_just,[status(thm)],[c_164]) ).

tcf(c_1021,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(demodulation,[status(thm)],[c_130]) ).

tcf(c_1906,plain,
    ! [X0: $i] :
      ( pred_attacker(constr_xor(constr_RC4(name_v,name_Kab),constr_concat(X0,constr_C(X0))))
      | ~ pred_attacker(X0) ),
    inference(superposition,[status(thm)],[c_611,c_106]) ).

tcf(c_1919,plain,
    pred_attacker(constr_xor(constr_RC4(name_v,name_Kab),constr_concat(name_objective,constr_C(name_objective)))),
    inference(superposition,[status(thm)],[c_154,c_120]) ).

tcf(c_1927,plain,
    ! [X0: $i] : constr_xor(constr_ZERO,X0) = X0,
    inference(superposition,[status(thm)],[c_98,c_97]) ).

tcf(c_1941,plain,
    ! [X0: $i,X1: $i] :
      ( pred_attacker(X0)
      | ~ pred_attacker(constr_concat(X0,X1)) ),
    inference(superposition,[status(thm)],[c_102,c_122]) ).

tcf(c_2033,plain,
    ! [X0: $i] : constr_C(constr_xor(X0,X0)) = constr_ZERO,
    inference(superposition,[status(thm)],[c_95,c_96]) ).

tcf(c_2035,plain,
    constr_C(constr_ZERO) = constr_ZERO,
    inference(light_normalisation,[status(thm)],[c_2033,c_96]) ).

tcf(c_2043,plain,
    ( pred_attacker(constr_xor(constr_RC4(name_v,name_Kab),constr_concat(constr_ZERO,constr_ZERO)))
    | ~ pred_attacker(constr_ZERO) ),
    inference(superposition,[status(thm)],[c_2035,c_1906]) ).

tcf(c_2050,plain,
    ( pred_attacker(constr_xor(constr_concat(constr_ZERO,constr_ZERO),constr_RC4(name_v,name_Kab)))
    | ~ pred_attacker(constr_ZERO) ),
    inference(theory_normalisation,[status(thm)],[c_2043,c_99,c_98]) ).

tcf(c_2051,plain,
    pred_attacker(constr_xor(constr_concat(constr_ZERO,constr_ZERO),constr_RC4(name_v,name_Kab))),
    inference(forward_subsumption_resolution,[status(thm)],[c_2050,c_110]) ).

tcf(c_2072,plain,
    ! [X0: $i,X1: $i] : constr_xor(X0,constr_xor(X0,X1)) = constr_xor(constr_ZERO,X1),
    inference(superposition,[status(thm)],[c_96,c_99]) ).

tcf(c_2091,plain,
    ! [X0: $i,X1: $i] : constr_xor(X0,constr_xor(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_2072,c_1927]) ).

tcf(c_2101,plain,
    ! [X0: $i,X1: $i] :
      ( pred_attacker(X1)
      | ~ pred_attacker(X0)
      | ~ pred_attacker(constr_xor(X0,X1)) ),
    inference(superposition,[status(thm)],[c_2091,c_100]) ).

tcf(c_2143,plain,
    ( pred_attacker(constr_concat(name_objective,constr_C(name_objective)))
    | ~ pred_attacker(constr_RC4(name_v,name_Kab)) ),
    inference(superposition,[status(thm)],[c_1919,c_2101]) ).

tcf(c_2144,plain,
    ( pred_attacker(constr_RC4(name_v,name_Kab))
    | ~ pred_attacker(constr_concat(constr_ZERO,constr_ZERO)) ),
    inference(superposition,[status(thm)],[c_2051,c_2101]) ).

tcf(c_2174,plain,
    ( pred_attacker(constr_RC4(name_v,name_Kab))
    | ~ pred_attacker(constr_ZERO) ),
    inference(superposition,[status(thm)],[c_109,c_2144]) ).

tcf(c_2175,plain,
    pred_attacker(constr_RC4(name_v,name_Kab)),
    inference(forward_subsumption_resolution,[status(thm)],[c_2174,c_110]) ).

tcf(c_2176,plain,
    pred_attacker(constr_concat(name_objective,constr_C(name_objective))),
    inference(global_subsumption_just,[status(thm)],[c_2143,c_2143,c_2175]) ).

tcf(c_2179,plain,
    pred_attacker(name_objective),
    inference(superposition,[status(thm)],[c_2176,c_1941]) ).

tcf(c_2180,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_2179,c_1021]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW957+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/5.39  % Computer : n007.cluster.edu
% 0.11/5.39  % Model    : x86_64 x86_64
% 0.11/5.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39  % Memory   : 8046.5625MB
% 0.11/5.39  % OS       : Linux 6.8.0-71-generic
% 0.11/5.39  % CPULimit : 300
% 0.11/5.39  % WCLimit  : 300
% 0.11/5.39  % DateTime : Thu Sep 24 23:13:28 UTC 2026
% 0.11/5.39  % CPUTime  : 
% 0.11/5.39  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/5.43  Running first-order theorem proving
% 0.15/5.43  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/5.44  
% 0.15/5.44  % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.44  
% 0.15/5.44  % Detected problem language: tptp
% 0.15/5.46  % Proving...
% 3.80/6.21  % SZS status Started for theBenchmark.p
% 3.80/6.21  % SZS status Theorem for theBenchmark.p
% 3.80/6.21  
% 3.80/6.21  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.80/6.21  
% 3.80/6.21  % ------  iProver source info
% 3.80/6.21  
% 3.80/6.21  % git: date: 2026-07-19 20:42:38 +0200
% 3.80/6.21  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.80/6.21  % git: non_committed_changes: false
% 3.80/6.21  
% 3.80/6.21  % ------ Parsing...
% 3.80/6.21  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.80/6.21  
% 3.80/6.21  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 3.80/6.21  
% 3.80/6.21  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 3.80/6.21  
% 3.80/6.21  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.80/6.21  % ------ Proving...
% 3.80/6.21  % ------ Problem Properties 
% 3.80/6.21  
% 3.80/6.21  % 
% 3.80/6.21  % clauses                               80
% 3.80/6.21  % conjectures                           1
% 3.80/6.21  % EPR                                   55
% 3.80/6.21  % Horn                                  80
% 3.80/6.21  % unary                                 63
% 3.80/6.21  % binary                                11
% 3.80/6.21  % lits                                  103
% 3.80/6.21  % lits eq                               51
% 3.80/6.21  % fd_pure                               0
% 3.80/6.21  % fd_pseudo                             0
% 3.80/6.21  % fd_cond                               0
% 3.80/6.21  % fd_pseudo_cond                        0
% 3.80/6.21  % AC symbols                            1
% 3.80/6.21  
% 3.80/6.21  % ------ Schedule dynamic 5 is on 
% 3.80/6.21  
% 3.80/6.21  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.80/6.21  
% 3.80/6.21  
% 3.80/6.21  % ------ 
% 3.80/6.21  % Current options:
% 3.80/6.21  % ------ 
% 3.80/6.21  
% 3.80/6.21  
% 3.80/6.21  % 
% 3.80/6.21  
% 3.80/6.21  % ------ Proving...
% 3.80/6.21  % 
% 3.80/6.21  
% 3.80/6.21  % SZS status Theorem for theBenchmark.p
% 3.80/6.21  
% 3.80/6.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.80/6.22  
%------------------------------------------------------------------------------